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math.PR2016★ 4 cited
Approximations for a solution to stochastic heat equation with stable noise
Larysa Pryhara, Georgiy Shevchenko
We consider a Cauchy problem for stochastic heat equation driven by a real harmonizable fractional stable process with Hurst parameter and stability index . It is…
math.PR2016
Fractionally integrated inverse stable subordinators
Alexander Iksanov, Zakhar Kabluchko, Alexander Marynych +1
A fractionally integrated inverse stable subordinator (FIISS) is the convolution of a power function and an inverse stable subordinator. We show that the FIISS is a scaling limit i…